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11319620 = 22513217197
BaseRepresentation
bin101011001011…
…100101000100
3210022002121012
4223023211010
510344211440
61042341352
7165133544
oct53134504
923262535
1011319620
116431664
12395a858
132464400
141709324
15ed8e65
hexacb944

11319620 has 72 divisors (see below), whose sum is σ = 27392904. Its totient is φ = 3913728.

The previous prime is 11319617. The next prime is 11319631. The reversal of 11319620 is 2691311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1597696 + 9721924 = 1264^2 + 3118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57362 + ... + 57558.

It is an arithmetic number, because the mean of its divisors is an integer number (380457).

Almost surely, 211319620 is an apocalyptic number.

11319620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11319620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696452).

11319620 is an abundant number, since it is smaller than the sum of its proper divisors (16073284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11319620 is a wasteful number, since it uses less digits than its factorization.

11319620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 11319620 is about 3364.4642961399. The cubic root of 11319620 is about 224.5315025328.

The spelling of 11319620 in words is "eleven million, three hundred nineteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 197 221 260 338 340 394 442 676 788 845 884 985 1105 1690 1970 2210 2561 2873 3349 3380 3940 4420 5122 5746 6698 10244 11492 12805 13396 14365 16745 25610 28730 33293 33490 43537 51220 57460 66586 66980 87074 133172 166465 174148 217685 332930 435370 565981 665860 870740 1131962 2263924 2829905 5659810 11319620